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Degrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – European Journal of Psychology of Education, 2018
While previous studies mainly focused on children's additive and multiplicative reasoning abilities, we studied third to sixth graders' "preference" for additive or multiplicative relations. This was investigated by means of schematic problems that were "open" to both types of relations, namely arrow schemes containing three…
Descriptors: Addition, Multiplication, Mathematical Logic, Student Attitudes
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Degrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Both additive and proportional reasoning are types of quantitative analogical (QA) reasoning. We investigated the development and nature of primary school children's QA reasoning by offering two missing-value word problems to 3rd to 6th graders. In one problem, ratios between given numbers were integer, in the other ratios were non-integer. These…
Descriptors: Word Problems (Mathematics), Logical Thinking, Mathematical Logic, Elementary School Students
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Verschaffel, Lieven; Reybrouck, Mark; Janssens, Marjan; Van Dooren, Wim – Psychology of Music, 2010
The aim of this study was to analyze children's graphical notations as external representations of their experiencing when listening to simple sonic stimuli and complex musical fragments. More specifically, we assessed the impact of four factors on children's notations: age, musical background, complexity of the fragment, and most salient…
Descriptors: Foreign Countries, Children, Music, Coding